In this paper is presented a six-bar linkage mechanism of the pump for oil extrusion. In this mechanism are introduced higher kinematic pairs. Dimensions and other incoming links are adopted as necessary. For the six-bar linkage mechanisms is carried out the kinematic analysis and for all linkages are shown the displacement, velocity and acceleration. The analysis is performed by Math Cad software, while kinetostatic analysis is carried out using Contour Method, comparing results of two different software‘s Math CAD and Working Model. The simulation parameters are computed for all points of the contours of mechanism.